What is the answer to 4/(7x+3)=11 ?

The answer to 4/(7x+3)=11 is x=-29/77

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4/(7x+3)=11

\frac{4}{7 x + 3} = 11

x = - \frac{29}{77}

Decimal Notation

x = - 0.37662 \dots

Solution steps

\frac{4}{7 x + 3} = 11

Multiply both sides by

7 x + 3

4 = 11 (7 x + 3)

Switch sides

11 (7 x + 3) = 4

Divide both sides by

11

7 x + 3 = \frac{4}{11}

Move

3

to the right side

7 x = - \frac{29}{11}

Divide both sides by

7

x = - \frac{29}{77}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{7}

Combine undefined points with solutions:

x = - \frac{29}{77}

\frac{x - 3}{x + 3} = \frac{4}{7}

\frac{5 x}{x + 1} = 3 \frac{5}{x + 1}

\frac{x}{x + 3} = \frac{8}{x - 2}

2 = \frac{x}{2 x + 1}

\frac{2}{8} = \frac{9}{x}